Computational Modeling of Temperature Distribution in a Rectangular Plate

As part of a team, I contributed to the numerical modeling of temperature distribution in a rectangular plate, aiming to develop a MATLAB-based computational model for predicting temperature field evolution over time. This project provided valuable insights into heat transfer analysis using numerical methods.

Key aspects of the model:

  • Implemented in MATLAB to solve the heat equation explicitly
  • Utilized the FTCS (Forward Time-Centered Space) numerical method for temperature evolution
  • Considered key parameters including plate dimensions, material properties, ambient temperature, and heat source characteristics
  • Visualized temperature distribution through MATLAB-based simulations

By leveraging computational heat transfer techniques, this model provided a detailed and accurate prediction of temperature variations, helping to analyze and optimize thermal behavior in engineering applications. Quantities such as plate dimensions, material properties, ambient temperature, and details about the heat source. The temperature evolution was calculated using FTCS or forward difference in time and centered difference in space numerical method.

Matlab was utilized to visualize the results shown in the images below.

3DPlot Width Vs Height Vs Temperature

Plate Contour Plot

Plot - Temperature Vs Time